6179791968 has 240 divisors, whose sum is σ = 21442950144. Its totient is φ = 1708542720.

The previous prime is 6179791949. The next prime is 6179791987. The reversal of 6179791968 is 8691979716.

6179791968 is a `hidden beast` number, since 617 + 9 + 7 + 9 + 1 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6179791949) and next prime (6179791987).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 556971 + ... + 567957.

Almost surely, 2^6179791968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6179791968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10721475072).

6179791968 is an abundant number, since it is smaller than the sum of its proper divisors (15263158176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6179791968 is a wasteful number, since it uses less digits than its factorization.

6179791968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11047 (or 11030 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 63.

The square root of 6179791968 is about 78611.6528766569. The cubic root of 6179791968 is about 1835.0924644609.

The spelling of 6179791968 in words is "six billion, one hundred seventy-nine million, seven hundred ninety-one thousand, nine hundred sixty-eight".